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Finding the Fourth Proportional to 9,814.70, 13,492.07 and 8,447.00

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Solution

The fourth proportional to 9,814.70, 13,492.07 and 8,447.00 is: 11,611.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.70 : 13,492.07 = 8,447.00 : x
  2. Step 2: Convert to fraction form
    9,814.70/13,492.07 = 8,447.00/x
  3. Step 3: Cross multiply
    9,814.70x = 13,492.07 × 8,447.00
  4. Step 4: Simplify right side
    9,814.70x = 113,967,405.59
  5. Step 5: Solve for x
    x = 113,967,405.59/9,814.70
  6. Step 6: Final answer
    x = 11,611.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.